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Those are most of the main quests currently implemented. However, based on the Rahi's work so far, there will be two more main quest chains added soon. There are other mods which add more content (See the Alex mod) but most do not compare to the original just based on scale.
Additionally, didn't see the lux and mirri quest chain on the list. It requires enslaving an NPC and ranking them up to level five then going to sleep to activate the first scene. Pretty good content and should take a while longer than the previous ones with having to rank up the black market through selling slaves in order to progress the storyline. Hope this helps!

First issue: Infertile Perk & Female Chastity
The infertile perk at the beginning of the game should prevent vaginal pregnancy however, without personally testing it, it may not prevent anal pregnancy if the anus (with Womb) option was also picked. Condoms are also an option and in the orginal options menu on the main screen before entering the game, there is an checkbox to turn off risky condoms, meaning that they will never fail.
The chastity belt is not an item currently available without the Debug menu. In debug there are two main chastity belts belonging to NNPCs, Vion and Artica. Both work the same, blocking the vagina but unaccessible through normal routes.

Second Issue: Vion Hacking Quest Chain
The Vion quest is notoriously difficult. Further down in the comments, a couple months ago, commentor Noblotus posted how to solve it.

"1. and only option after beginning -> help -> send -> probe -> send -> connect 3 (you need to click on the butten "NUMPAD" in the corner to wirte the 3) -> send -> help -> send -> unlock block (need to write manuel by clicking on "KEYBORD" in the corner) this is to skip the rest of this minigame. When you dont want to skip you can ignor this and follow this steps (not necessary for anything) -> unlock -> send -> monitor (remamber the green numbers in [] -> send -> strscan -> lock for the rigth grenn numbers in [] -> unlock (word behind the grenn numbers)"

Essentially: Enter Hacking Scene >> Help >> Send >> Probe >> Send >> Connect "3" >> Send >> Unlock >> Monitor [Remember Green Numbers] >> Send >> Strscan >> [Look for matching green number strand] >> Unlock "Word behind matching Strscan"
... or to do the skip the mini game: Enter Hacking Scene >> Help >> Send >> Probe >> Send >> Connect "3" >> Send >> Unlock "Block"

To get to the black market, a slave has to get to a certain level of training in their path (Around level 5). Sleeping after that will trigger the lux scene to grant access to the black market!

No official updates yet! However, the GitHub page has a link to the latest working version of BDCC. There is tons of new content and features if one is willing to deal with the occasional crash, odd uncoded section, and unbalanced features.

GitHub Actions tab will also reveal the daily coding Rahi does. Based on the recent actions, it's an estimated week to another month or two until the next release will be out on itch.io.

Rahi has been doing tons of work behind the scenes these last 100 days. It's only a matter of time before the full release can be integrated!

In Settings menu on the Main Menu
>> Adjustable npc scaling to the player (Difficulty Section)
>> Enable or disable watersports, overstim, etc (Content & Features Sections)
In Encounters menu During Game
>> Ban certain action types in encounters (Limits Tab)
>> Increase or decrease action weights (Goals Tab)
>> Adjust species encounter weights (Species Tab)
>> Change npc sex weights (Sexes Tab)

Caveats
>> Weighting is an imperfect system now that the random encounters are tracked with set NPCs. Increasing npc count will slowly create lag but increase the viability of the weighting system.
>> Exact skill leveling and npc bias catering is not currently in the game. It also doesn't appear planned for either.

Mild Spoiler / Hint
>> Next update should include some ways to change physical aspects of any attackable / fuckable character though most static NNPCs may not have content included.

There is little in the way of current ingame content on size difference. There are a few mentions I believe littered about (Particularly Rush and Artica). However, there is a popular mod called Hypertus which may appeal if size difference is the goal. I doubt there will be anything significant on size difference exactly but...

!!!!!SPOILERS FOR UPCOMING CONTENT!!!!

Additionally, while not directly size difference content, based on the Github actions page, the author is going to be adding a module on pills that have different transformative effects. Included in this line up is sizing up and down different body parts and changing some of the sliders of body type first in the game.

To have encounters with Alex, first complete the Portal Panties questline. After, go back to the engineer and ask him the non-purchase dialouge questions. At a certain point there is the option to ask to help him. He will intially decline but allow you to watch his work. Do this for a couple days until he opens up about furthering your relationship. Complete the submission questlines and on eventually he will gain enough trust to engage you in his last 'lessons'.
Another method is to duplicate a static NPC and enslave them using the Debug menu. It should do what it says on the tin and I think it doesn't have a limit on how many times you can do that, just be careful not to crash anything by messing with the variables.
There is also an Alex mod which extends his storyline a bit although it may not be up to date with the current version.

In settings there is an option to turn off the sensitivity feature included in the 0.1.7.1 patch. Main Menu >> Settings >> Difficulty settings >> Overstimulation mechanic

If playing with Debug/Cheats. Pull up the menu and there should be a button to remove all bondage (Except for the prison collar). There may also be an option to remove all pre-game opt-outs but not sure where that is. Otherwise, rydudex is correct.

For timeline progress, go to the linked Github page for BDCC. It has the project's active code. Alternations, additions, and updates are shown under the Actions tab. Look for new action logs from Alexofp (AKA Rahi). There you can see what the creator has been working on most recently! No official dates but something to tide us over until the grand reveal.